Question

solve by using
formula 4x²-2x-1=0
​

Answer 1

4x^-2x-1=0

4x^2-2x-2x-1=0

2x(2x-1)-1(2x-1)=0

(2x-1)(2x-1)

(2x-1)^2

Answer 2

The solution of the equation are $x=0.809,-0.309$.

Step-by-step explanation:

Given : Equation $4x^2-2x-1=0$.

To find : Solve by using formula ?

Solution :

The solution of the quadratic equation $ax^2+bx+c=0$ is $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$.

Here, a=4, b=-2 and c=-1

Substitute in the formula,

$x=\frac{-(-2)\pm\sqrt{(-2)^2-4(4)(-1)}}{2(4)}$

$x=\frac{2\pm\sqrt{20}}{8}$

$x=\frac{2\pm2\sqrt{5}}{8}$

$x=\frac{1\pm\sqrt{5}}{4}$

$x=\frac{1+\sqrt{5}}{4},\frac{1-\sqrt{5}}{4}$

$x=0.809,-0.309$

Therefore, the solution of the equation are $x=0.809,-0.309$.

#Learn more

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